# Jump Start Your Teaching Career With Our Indiana CORE Math Test Prep Courses

MathHelp.com offers 2 complete Indiana CORE math prep courses with a personal math teacher. Don’t let math hold you back from getting certified to become the teacher you deserve to be!

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#### About the Indiana State Tests

- is a twenty-first-century program featuring a new generation of technologically advanced and customized assessments.
- will help the Department of Education meet its goals of ensuring that candidates have the developmental (pedagogy) and content area knowledge and skills needed to teach effectively in Indiana public schools.
- is based on the REPA Indiana Educator Standards, and is aligned with state and national standards for educator preparation and with state standards for the P–12 student curriculum (Indiana Common Core State Standards and Indiana Academic Standards).

The tests included in the program are criterion referenced and standards based. Criterion-referenced tests are designed to measure a candidate’s knowledge and skills in relation to an established standard of performance (a criterion), rather than in relation to the performance of other candidates. The tests are aligned with the REPA Indiana Educator Standards. The program is composed of the following tests:

- Core Academic Skills Assessment: Tests of reading, writing, and mathematics that may be used to satisfy entrance requirements at Indiana educator preparation programs
- Developmental (pedagogy) area tests
- Content area tests

Tests are computer-based. All tests include multiple-choice questions, and some tests also include one or more constructed-response assignments. The available testing time varies by test and ranges between 45 minutes and 135 minutes. There is a 15-minute tutorial on computer-based testing prior to each test, which is not counted as part of the testing time.

#### Indiana State Math Test Prep Courses

#### CHAPTER 1: WHOLE NUMBERS

##### Unit 1: Number Concepts

##### Unit 2: Addition and Subtraction

Estimating Sums and Differences

Addition and Subtraction Word Problems

##### Unit 3: Multiplication and Division

Estimating Products and Quotients

Multiplication and Division Word Problems

##### Unit 4: Variables and Properties

#### CHAPTER 2: INTEGERS

##### Unit 1: Integers and the Number Line

##### Unit 2: Integer Operations

##### Unit 3: Order of Operations and Word Problems

#### CHAPTER 3: FRACTIONS

##### Unit 1: Factors and Multiples

Multiples and Least Common Multiples

##### Unit 2: Fractions and Mixed Numbers

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

##### Unit 3: Comparing Fractions

Comparing Mixed Numbers and Improper Fractions

##### Unit 4: Addition and Subtraction

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

##### Unit 5: Multiplication and Division

##### Unit 6: Operations on Rational Numbers

#### CHAPTER 4: DECIMALS

##### Unit 1: Decimal Concept

Converting Decimals to Fractions

Converting Fractions to Decimals

##### Unit 2: Addition and Subtraction

Estimating Sums and Differences

##### Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers

Multiplying Decimals by Decimals

Dividing Decimals by Whole Numbers

##### Unit 4: Scientific Notation

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

##### Unit 5: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

#### CHAPTER 5: ALGEBRAIC EXPRESSIONS

##### Unit 1: Patterns

Patterns with Fractions, Decimals, and Integers

##### Unit 2: Evaluating and Simplifying Expressions

#### CHAPTER 6: EQUATIONS & INEQUALITIES IN ONE VARIABLE

##### Unit 1: Beginning Equations

Using Algebra Tiles to Model Algebraic Equations

##### Unit 2: Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides / Distributive

##### Unit 3: Equations with Decimals

##### Unit 4: Formulas

##### Unit 5: Inequalities

Solving and Graphing Inequalities

#### CHAPTER 7: RATIO, PROPORTION, & PERCENT

##### Unit 1: Ratios and Rates

##### Unit 2: Proportion

##### Unit 3: Percent Concept

##### Unit 4: Percent Problems

##### Unit 5: Percent Applications

#### CHAPTER 8: WORD PROBLEMS

##### Unit 1: Modeling Expressions and Equations

Translating English to Algebra

##### Unit 2: Beginning Word Problems

##### Unit 3: Advanced Word Problems

#### CHAPTER 9: GRAPHING, FUNCTIONS, AND TRANSFORMATIONS

##### Unit 1: Functions

##### Unit 2: Graphing Functions

Evaluating and Graphing Functions

Graphing within a Given Domain

##### Unit 3: Graphing Lines and Inequalities in Two Variables

Graphing Inequalities in Two Variables

##### Unit 4: Symmetry and Transformations

#### CHAPTER 10: LINEAR EQUATIONS

##### Unit 1: Patterns and Linear Functions

Word Problems and Table Building

##### Unit 2: Slope

Using the Graph of a Line to Find Slope

Using Coordinates to Find Slope

##### Unit 3: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Linear Parent Graph and Transformations

##### Unit 4: Equations of Lines

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

#### CHAPTER 11: SYSTEMS OF LINEAR EQUATIONS

##### Unit 1: Solving Systems of Equations

##### Unit 2: Word Problems

#### CHAPTER 12: EXPONENTS

##### Unit 1: Exponent Rules

##### Unit 2: Exponents and Numerical Bases

Numerical Bases and Exponents of Zero

#### CHAPTER 13: INTRODUCTION TO GEOMETRY

##### Unit 1: Basic Figures

Points, Lines, Planes, and Space

Segment Addition Postulate and Midpoint

Angle Addition Postulate and Angle Bisector

##### Unit 2: Reasoning

Inductive vs. Deductive Reasoning

##### Unit 3: Beginning Proof

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

#### CHAPTER 14: ANGLE PAIRS AND GEOMETRIC FIGURES

##### Unit 1: Angle Pairs

Complementary and Supplementary Angles (Part 1)

##### Unit 2: Triangles

##### Unit 3: Parallel Lines and Transversals

##### Unit 4: Polygons and Angles

Sum of Interior and Exterior Angles

##### Unit 5: More Two-Dimensional Figures

##### Unit 6: Three-Dimensional Figures

Classifying 3-Dimensional Figures

#### CHAPTER 15: CONGRUENCE AND SIMILARITY

##### Unit 1: Congruency

##### Unit 2: Similarity

Properties of Similar Polygons

Angle-Angle Similarity Postulate

#### CHAPTER 16: MEASUREMENT

##### Unit 1: Units of Measurement

##### Unit 2: Perimeter and Circumference

##### Unit 3: Area

Area of Squares and Rectangles

Area of Parallelograms and Trapezoids

##### Unit 4: Surface Area and Volume

Volume of Cylinders, Spheres, and Cones

##### Unit 5: Right Triangles

Using Square Roots to Solve Equations

#### CHAPTER 17: STATISTICS AND PROBABILITY

##### Unit 1: Common Graphs and Charts

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Dependency and Correlational Relationships

##### Unit 3: Central Tendency

##### Unit 4: Probability

Probability of Independent Events

Probability of Dependent Events

##### Unit 5: Counting Methods

#### CHAPTER 1: EXPONENTS AND PROPERTIES OF REAL NUMBERS

##### Unit 1: Exponents

##### Unit 2: Properties of Addition and Multiplication

#### CHAPTER 2: INTEGERS AND EVALUATING EXPRESSIONS

##### Unit 1: Introduction to Integers

##### Unit 2: Operations with Integers

##### Unit 3: Order of Operations/Evaluation

#### CHAPTER 3: UNDERSTANDING FRACTIONS

##### Unit 1: Factors and Multiples

Multiples and Least Common Multiples

##### Unit 2: Fractions and Mixed Numbers

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

##### Unit 3: Comparing Fractions

Comparing Mixed Numbers and Improper Fractions

##### Unit 4: Adding and Subtracting Fractions

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

##### Unit 5: Multiplying and Dividing Fractions

##### Unit 6: Operations with Rational Numbers

#### CHAPTER 4: DECIMALS

##### Unit 1: Decimal Concepts

Converting Decimals to Fractions

Converting Fractions to Decimals

##### Unit 2: Comparing and Rounding Decimals

##### Unit 3: Estimating and Problem Solving

Estimating Sums and Differences

##### Unit 4: Scientific Notation

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

##### Unit 5: Decimals and Rational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

#### CHAPTER 5: SIMPLIFYING EXPRESSIONS & SOLVING EQUATIONS

##### Unit 1: Patterns

##### Unit 2: Simplifying Algebraic Expressions

##### Unit 3: Solving One- and Two-Step Equations

##### Unit 4: Solving Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

##### Unit 5: Equations with Fractions and Decimals

##### Unit 6: Literal Equations and Formulas

#### CHAPTER 6: RATIO, PROPORTION, & PERCENT

##### Unit 1: Ratios and Rates

##### Unit 2: Proportions

##### Unit 3: Percent, Decimals, and Fractions

##### Unit 4: Percent Problems

##### Unit 5: Applications of Percent

#### CHAPTER 7: WORD PROBLEMS

##### Unit 1: Beginning Word Problems

##### Unit 2: Value/Interest Problems

##### Unit 3: Mixture/Motion Problems

#### CHAPTER 8: INEQUALITIES AND ABSOLUTE VALUE

##### Unit 1: Linear Inequalities in One Variable

Solving and Graphing Inequalities

##### Unit 2: Absolute Value Equations & Inequalities

#### CHAPTER 9: GRAPHING AND TRANSFORMATIONS

##### Unit 1: The Rectangular Coordinate System

##### Unit 2: Transformations

#### CHAPTER 10: FUNCTIONS AND GRAPHING

##### Unit 1: Introduction to Functions

##### Unit 2: Graphing Functions

Graphing within a Given Domain

##### Unit 3: Linear Inequalities in Two Variables

Graphing Inequalities in Two Variables

#### CHAPTER 11: LINEAR EQUATIONS AND FUNCTIONS

##### Unit 1: Slope and Rate of Change

Using the Graph of a Line to Find Slope

Using Coordinates to Find Slope

##### Unit 2: Slope Intercept Form and Graphs

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Linear Parent Graph and Transformations

##### Unit 3: Writing Equations in Slope-Intercept Form

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

##### Unit 4: Direct Variation and Applications of Linear Equations

Applications of Direct Variation and Linear Functions

##### Unit 5: Equations of Lines in Standard Form

#### CHAPTER 12: SYSTEMS OF LINEAR EQUATIONS

##### Unit 1: Solving Systems of Equations

##### Unit 2: Systems of Equations and Word Problems

#### CHAPTER 13: EXPONENTS AND POLYNOMIALS

##### Unit 1: Exponent Rules

##### Unit 2: Advanced Exponent Problems

Numerical Bases and Exponents of Zero

##### Unit 3: Multiplying Polynomials

#### CHAPTER 14: FACTORING

##### Unit 1: Greatest Common Factor

##### Unit 2: Factoring Special Polynomials

Special Trinomials with Positive Constant

Special Trinomials with Negative Constant

##### Unit 3: Factoring Trinomials

Coefficient on x^{2} Term, Positive Constant

Coefficient on x^{2} Term, Negative Constant

##### Unit 4: Advanced Factoring

Factoring Out G.C.F. as First Step

Factoring Difference of Two Squares as Last Step

##### Unit 5: Solving Polynomial Equations

#### CHAPTER 15: RATIONAL EXPRESSIONS AND EQUATIONS

##### Unit 1: Simplifying Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

##### Unit 2: Advanced Rational Expressions

Subtracting Rational Expressions

##### Unit 3: Rational Equations

#### CHAPTER 16: RADICAL EXPRESIONS AND EQUATIONS

##### Unit 1: Simplifying Radical Expressions

##### Unit 2: Multiplying and Dividing Radical Expressions

##### Unit 3: Advanced Radical Expressions

##### Unit 4: Radical Equations

#### CHAPTER 17: QUADRATIC EQUATIONS

##### Unit 1: Quadratic Graphs and Transformations

Graphs of Quadratic Functions and Beginning Transformations

Graphs of Quadratic Functions and Advanced Transformations

##### Unit 2: Completing the Square

Beginning Completing The Square

Advanced Completing The Square

##### Unit 3: The Quadratic Formula

#### CHAPTER 18: IMAGINARY AND COMPLEX NUMBERS

##### Unit 1: Imaginary Numbers

##### Unit 2: Complex Numbers

#### CHAPTER 19: QUADRATIC FUNCTIONS AND GRAPHING

##### Unit 1: Vertex Form

Understanding y - k = a(x - h)^{2} Form

Graphing Quadratic Equations in y - k = a(x - h)^{2} Form

Writing Quadratic Equations in y - k = a(x - h)^{2} Form

##### Unit 2: Quadratic Functions

#### CHAPTER 20: INTRODUCTION TO GEOMETRY

##### Unit 1: Segments and Length

Points, Lines, Planes, and Space

Segment Addition Postulate and Midpoint

##### Unit 2: Angles

Angle Addition Postulate and Angle Bisector

##### Unit 3: Reasoning

Inductive vs. Deductive Reasoning

##### Unit 4: Beginning Proofs

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

#### CHAPTER 21: ANGLE PAIRS AND PERPENDICULAR LINES

##### Unit 1: Angle Pairs

Complementary and Supplementary Angles (Part 1)

Complementary and Supplementary Angles (Part 2)

##### Unit 2: Perpendicular Lines

Problems Involving Perpendicular Lines

Theorems Involving Perpendicular Lines

#### CHAPTER 22: PARALLEL LINES AND POLYGONS

##### Unit 1: Parallel Lines

##### Unit 2: Angles of a Triangle

Vocabulary and Triangle Sum Theorem

Word Problems and Exterior Angle Theorem

##### Unit 3: Polygons

Sum of Interior and Exterior Angles

#### CHAPTER 23: TRIANGLES AND CONGRUENCE

##### Unit 1: Beginning Concepts

Proving Triangles are Congruent by SSS, SAS, and ASA

##### Unit 2: Advanced Concepts

Proving Triangles are Congruent by AAS and HL

Medians, Altitudes, and Perpendicular Bisectors

#### CHAPTER 24: QUADRILATERALS

##### Unit 1: Parallelograms

Proving a Quadrilateral is a Parallelogram

##### Unit 2: Other Quadrilaterals

Rectangles, Rhombuses, and Squares

#### CHAPTER 25: SIMILARITY

##### Unit 1: Ratio and Proportion

##### Unit 2: Similar Polygons

Properties of Similar Polygons

Angle-Angle Similarity Postulate

##### Unit 3: Similarity Theorems

SSS and SAS Similarity Theorems

Triangle Proportionality and Triangle Angle-Bisector Theorems

#### CHAPTER 26: RIGHT TRIANGLES

##### Unit 1: Pythagorean Theorem

Converse of the Pythagorean Theorem

##### Unit 2: Special Right Triangles

30-60-90 and 45-45-90 degree Triangles (Part I)

30-60-90 and 45-45-90 degree Triangles (Part II)

##### Unit 3: Trigonometry

Sine, Cosine, and Tangent (Part I)

Sine, Cosine, and Tangent (Part II)

#### CHAPTER 27: CIRCLES

##### Unit 1: Vocabulary and Tangents

##### Unit 2: Arcs, Central Angles, and Chords

##### Unit 3: Angles and Segments

Angles Formed by Chords, Secants, and Tangents

##### Unit 4: Segment Lengths

Theorems and Beginning Problems

#### CHAPTER 28: MEASUREMENT AND AREA

##### Unit 1: Units of Measurement

##### Unit 2: Area of Rectangles, Squares, and Parallelograms

Area of Rectangles and Squares (Part I)

Area of Rectangles and Squares (Part II)

##### Unit 3: Area of Triangles, Rhombuses, and Trapezoids

##### Unit 4: Area of Polygons and Circles

Area and Circumference of Circles

#### CHAPTER 29: VOLUME

##### Unit 1: Prisms

Vocabulary, Formulas, and Right Rectangular Prisms

##### Unit 2: Pyramids

Vocabulary, Formulas, and Regular Square Pyramids

##### Unit 3: Cylinders, Cones, and Spheres

#### CHAPTER 30: DATA AND STATISTICS

##### Unit 1: Common Graphs and Charts

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

##### Unit 3: Central Tendency

##### Unit 4: Probability

Probability of Independent Events

Probability of Dependent Events

##### Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

#### CHAPTER 31: COORDINATE GEOMETRY

##### Unit 1: Segments in the Coordinate Plane

##### Unit 2: Circles in the Coordinate Plane

#### CHAPTER 32: NEGATIVE & RATIONAL EXPONENTS

##### Unit 1: Simplifying Expressions with Negative Exponents

Multiplying and Dividing with Negative Exponents

##### Unit 2: Operations with Scientific Notation

Multiplying and Dividing Scientific Notation

##### Unit 3: Rational Exponents and Radical Expressions

Writing Radicals in Exponential Form

##### Unit 4: Equations with Rational Exponents and Simplifying with Radical Exponents

Solving Equations with Rational Exponents

#### CHAPTER 33: COMPOSITE FUNCTIONS & INVERSES

##### Unit 1: Composite Functions

Composite Functions: f(g(x)) and g(f(x))

##### Unit 2: Inverses

#### CHAPTER 34: LOGARITHMS & EXPONENTIAL FUNCTIONS

##### Unit 1: Introduction to Logarithms

Logarithms and Logarithmic Functions

##### Unit 2: Properties of Logarithms

Logarithm Rules and Properties

Evaluating Logarithms by Condensing or Expanding

Solving Advanced Log Equations

##### Unit 3: Evaluating Logarithms with a Calculator

##### Unit 4: Exponential Equations and Logarithms

Exponential Equations and Change of Base Formula

Half Life Formula and Doubling Time Formula